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Volumn 28, Issue 3, 1999, Pages 771-781

A constant-factor approximation algorithm for the geometric k-MST problem in the plane

Author keywords

Bank robber (orienteering) problem; Computational geometry; Dynamic programming; Guillotine subdivisions; k MST; Minimum spanning trees; Network optimization; Prize collecting salesman problem; Quota traveling salesman problem

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DYNAMIC PROGRAMMING; POLYNOMIALS; PROBLEM SOLVING; RECURSIVE FUNCTIONS; THEOREM PROVING; TRAVELING SALESMAN PROBLEM;

EID: 0032256590     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0097539796303299     Document Type: Article
Times cited : (11)

References (22)
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    • Arora, S.1
  • 2
    • 0006065427 scopus 로고
    • Improved approximation guarantees for minimum-weight k-trees and prize-collecting salesmen
    • B. AWERBUCH, Y. AZAR, A. BLUM, AND S. VEMPALA, Improved approximation guarantees for minimum-weight k-trees and prize-collecting salesmen, in Proc. 27th Ann. ACM Sympos. Theory Comput., 1995, pp. 277-283.
    • (1995) Proc. 27th Ann. ACM Sympos. Theory Comput. , pp. 277-283
    • Awerbuch, B.1    Azar, Y.2    Blum, A.3    Vempala, S.4
  • 3
    • 84987028582 scopus 로고
    • The prize collecting traveling salesman problem
    • E. BALAS, The prize collecting traveling salesman problem, Networks, 19 (1989), pp. 621-636.
    • (1989) Networks , vol.19 , pp. 621-636
    • Balas, E.1
  • 10
    • 0038913616 scopus 로고    scopus 로고
    • Faster geometric k-point MST approximation
    • D. EPPSTEIN, Faster geometric k-point MST approximation, Comput. Geom., 8 (1997), pp. 231-240.
    • (1997) Comput. Geom. , vol.8 , pp. 231-240
    • Eppstein, D.1
  • 11
    • 84996516648 scopus 로고
    • Weighted k-cardinality trees: Complexity and polyhedral structure
    • M. FISCHETTI, H. W. HAMACHER, K. JORNSTEN, AND F. MAFFIOLI, Weighted k-cardinality trees: Complexity and polyhedral structure, Networks, 24 (1994), pp. 11-21.
    • (1994) Networks , vol.24 , pp. 11-21
    • Fischetti, M.1    Hamacher, H.W.2    Jornsten, K.3    Maffioli, F.4
  • 12
    • 0030419033 scopus 로고    scopus 로고
    • A 3-approximation for the minimum tree spanning k vertices
    • N. GARG, A 3-approximation for the minimum tree spanning k vertices, in Proc. 37th Ann. IEEE Sympos. Found. Comput. Sci., 1996, pp. 302-309.
    • (1996) Proc. 37th Ann. IEEE Sympos. Found. Comput. Sci. , pp. 302-309
    • Garg, N.1
  • 13
    • 0028015159 scopus 로고
    • An O(log k) approximation algorithm for the k minimum spanning tree problem in the plane
    • N. GARG AND D. S. HOCHBAUM, An O(log k) approximation algorithm for the k minimum spanning tree problem in the plane, in Proc. 26th Ann. ACM Sympos. Theory Comput., 1994, pp. 432-438.
    • (1994) Proc. 26th Ann. ACM Sympos. Theory Comput. , pp. 432-438
    • Garg, N.1    Hochbaum, D.S.2
  • 17
    • 85017742265 scopus 로고
    • Approximation algorithms for geometric tour and network design problems
    • C. MATA AND J. S. B. MITCHELL, Approximation algorithms for geometric tour and network design problems, in Proc. 11th Ann. ACM Sympos. Comput. Geom., 1995, pp. 360-369.
    • (1995) Proc. 11th Ann. ACM Sympos. Comput. Geom. , pp. 360-369
    • Mata, C.1    Mitchell, J.S.B.2
  • 18
    • 0039331929 scopus 로고    scopus 로고
    • Guillotine subdivisions approximate polygonal subdivisions: A simple new method for the geometric k-MST problem
    • J. S. B. MITCHELL, Guillotine subdivisions approximate polygonal subdivisions: A simple new method for the geometric k-MST problem, in Proc. 7th ACM-SIAM Sympos. Discrete Algorithms, 1996, pp. 402-408.
    • (1996) Proc. 7th ACM-SIAM Sympos. Discrete Algorithms , pp. 402-408
    • Mitchell, J.S.B.1
  • 19
    • 0032667193 scopus 로고    scopus 로고
    • Guillotine subdivisions approximate polygonal subdivisions: A simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems
    • to appear
    • J. S. B. MITCHELL, Guillotine subdivisions approximate polygonal subdivisions: A simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems, SIAM J. Comput., to appear.
    • SIAM J. Comput.
    • Mitchell, J.S.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.